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Finding the Fourth Proportional to 223,461.08, 308,382.38 and 121,493.40

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Solution

The fourth proportional to 223,461.08, 308,382.38 and 121,493.40 is: 167,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,461.08 : 308,382.38 = 121,493.40 : x
  2. Step 2: Convert to fraction form
    223,461.08/308,382.38 = 121,493.40/x
  3. Step 3: Cross multiply
    223,461.08x = 308,382.38 × 121,493.40
  4. Step 4: Simplify right side
    223,461.08x = 37,466,424,427.04
  5. Step 5: Solve for x
    x = 37,466,424,427.04/223,461.08
  6. Step 6: Final answer
    x = 167,664.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.